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We formulate an inversion problem using the up- and down-going signals of ocean bottom data to imaging primaries and multiples. The method involves separating pressure $ (P)$ and vertical particle velocity $ (V_z)$ data into up- and down-going components. Afterward, the up- and down-going data can be used for inversion with appropiate modeling operators. To a first-order accuracy, we use mirror imaging to define the up- and down-going modeling operator. A complete modeling scheme can be defined by the composition of the over-under modeling operator and the up-down decomposition operator. This scheme effectively models all primaries, water reveberations and multiples.